1330147168768 has 240 divisors, whose sum is σ = 3098641408632. Its totient is φ = 568030003200.

The previous prime is 1330147168729. The next prime is 1330147168771. The reversal of 1330147168768 is 8678617410331.

It can be written as a sum of positive squares in 4 ways, for example, as 1323677862144 + 6469306624 = 1150512^2 + 80432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075300246 + ... + 1075301482.

Almost surely, 2^{1330147168768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330147168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549320704316).

1330147168768 is an abundant number, since it is smaller than the sum of its proper divisors (1768494239864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330147168768 is a wasteful number, since it uses less digits than its factorization.

1330147168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 1330147168768 in words is "one trillion, three hundred thirty billion, one hundred forty-seven million, one hundred sixty-eight thousand, seven hundred sixty-eight".